A rotating electrical machine includes a stator core, a rotor core, and permanent magnets. The stator core includes a yoke and tooth portions projecting from the yoke in a radial inward direction. Each tooth portion has a base joined to the yoke and an end opposite to the base. The rotor core includes a boss portion and projections. The projections project from the boss portion in a radial outward direction and spaced in a circumferential direction. Each permanent magnet is located between and spaced from adjacent projections to forma gap in the circumferential direction. A width of the gap is not greater than a width of the end of the tooth portion in the circumferential direction.